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Tutorial on how to use Geometric Sketchpad to construct points inside a triangle

Apr 22, 2024 am 10:31 AM

How to construct the points inside the triangle in the geometry sketchpad? PHP editor Yuzi brings you a detailed tutorial on this construction technique today. Have you ever faced difficulties constructing a triangle in Geometry Sketchpad and need to add points inside the triangle? This tutorial will guide you step by step on how to easily construct points within a triangle, making your geometry sketchpad drawings more accurate and convenient.

1. Construct triangle ABC (the direction of line segment AB is from left to right), and construct point D on side AB.

Tutorial on how to use Geometric Sketchpad to construct points inside a triangle

2. Select point D, [Measurement] - [Point Value] to get the point value measurement value (D is the active point of the trajectory). [Data] - [New Parameter], the name is n, the value is 10, and the unit is [None]. (Number of internal trajectory lines)

Tutorial on how to use Geometric Sketchpad to construct points inside a triangle

3. Do the calculations in the figure below. The first calculation expands the point value by n times to facilitate rounding. The second calculation rounds the first calculated value and divides it by n to obtain the integer point value that is smaller than but closest to the D point value (between 0 and 1 to determine the position of the trajectory segment). The third calculation yields the rounded tail (between 0 and 1 as the scaling of the trajectory point on a line segment parallel to edge BC).

Tutorial on how to use Geometric Sketchpad to construct points inside a triangle

4. Double-click point A to mark the center, select point B, [Transform] - [Zoom], click the second calculated value in step 3 for the zoom value, and get Point E. Select point E and side BC, [Construct]-[Parallel Line], and construct the intersection point F of the parallel line and line segment AC.

Tutorial on how to use Geometric Sketchpad to construct points inside a triangle

5. Double-click point E to mark the center, select point F, [Transform] - [Zoom], click the third calculated value in step 3 for the zoom value, and get Point G.

Tutorial on how to use Geometric Sketchpad to construct points inside a triangle

6. Select point D and point G, [Construct]-[Trajectory], and construct point H on the trajectory.

Tutorial on how to use Geometric Sketchpad to construct points inside a triangle

7. Increase the value of n and increase the trajectory sampling rate. Point H is a point that can only move internally. (The larger n is, the greater the total length of the trajectory line is, and the trajectory sampling rate needs to be increased to ensure trajectory density)

Tutorial on how to use Geometric Sketchpad to construct points inside a triangle

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